Give a proof linked to this picture of the formula $a^2 – b^2 = (a + b)(a – b)$ .
2. What do you notice about the difference between squares of consecutive numbers?
Compare the differences between squares of numbers that differ by 1 […]
John plans to get the minimum possible Diamond Razor Mesh fencing material, as a security measure to discourage entry into his dam. He finds out that the rectangular shape drawn around the dam picture can help. The dimensions are given in algebraic form, in metres. Find an expression for the area of this […]
A large piece of land, divided into small plots, belongs to 5 different farmers.
Below is a plan of the area as the land is presently divided.
All the plots labelled (a) belong to farmer (a).
All the plots labelled (s) belong to farmer (s) and so on.
2. Find the areas in square units of the 3 pieces blue, green and brown.
How does the diagram below connect with the multiplication?
Use the two grids to do the two multiplications:
72 × 25 […]
The area of triangle PQR is 3√3 square centimetres. Angle PRQ is 60 degrees and RQ is 4 centimetres longer than PR.
Find the length of PQ.
Draw ΔPQR accurately.
Calculate all the angles in the triangle.
How many rectangles can you make with perimeter 12 units?
What do you know about rectangles? What is the smallest rectangle that you can […]
Find the total area of the two triangles by two different methods if ACD and BCE are straight lines .
What are the lengths PC and CQ?
The triangles are re-drawn keeping the total area the same and keeping the distances between the green parallel lines as 3 cm and BD = 4 cm.
Lick here to download the GRAPHICAL TRIANGLE worksheet
Imagine dipping the large cube into a pot of yellow paint so the whole outer surface is covered. What is its surface area?
Now imagine breaking the […]